Common Logarithms.

Common logarithm is the number to base ten. Also known as decidal or decimal logarithm. Logarithm numbers a prefix log. Indices and logarithm are solved equally the same way.

1. The product of a and is 31.59. Given that logarithm of a is 2.6182. Find using logarithm the value of b. to 4 significant figures. (4mks)
2. Evaluate without using mathematical tables or calculators,

2 log₁₀ 5 – ½ log₁₀ 64 + 2 log₁₀ 40.                                                                             (3mks)

3. Use the logarithm table to evaluate. (4 marks)

 

 

3     (0.0246)² x 142

0.002 x 1.14

4. Without using log tables or a calculator; solve (4mks)

 

5. Solve for x given

1  ^x  .64² = 256                                                                                                               (3 marks)

 

6. Use logarithms to evaluate (4mks)

 

6. Use logarithms to evaluate (4 marks)

 

 

8. Use the mathematical table to evaluate.

36.89 ÷ 0.0232849 x 0.00574

 

9. Given that y = Bxⁿ. Make n the subject of the formula and simplify your answer

 

10. Without using mathematical tables or calculators evaluate: 6log₂    64 + 10log₃ (243)

 

11. Find the value of x that satisfies the equation log (2x – 11) – log 2 =log 3 – log x

 

 

12. Use logarithms to evaluate to 3 significant figures

(0.5241)² x 83.59

                 ³ 0.3563

 

 

13. Use logarithm tables in all your steps to evaluate:

 

leaving your answer to four decimal places

 

 
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